3652472880 has 480 divisors, whose sum is σ = 14540497920. Its totient is φ = 804464640.

The previous prime is 3652472843. The next prime is 3652472881. The reversal of 3652472880 is 882742563.

3652472880 is a `hidden beast` number, since 365 + 2 + 4 + 7 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3652472881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21112474 + ... + 21112646.

It is an arithmetic number, because the mean of its divisors is an integer number (30292704).

Almost surely, 2^3652472880 is an apocalyptic number.

3652472880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270248960).

3652472880 is an abundant number, since it is smaller than the sum of its proper divisors (10888025040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3652472880 is a wasteful number, since it uses less digits than its factorization.

3652472880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3652472880 is about 60435.6921032596. The cubic root of 3652472880 is about 1540.0293579606.

The spelling of 3652472880 in words is "three billion, six hundred fifty-two million, four hundred seventy-two thousand, eight hundred eighty".